1. Consider the vectors ữ = (-1,–1), ở= (1,2) and w (3, a). (a) Find the resultant of ū and ū. (b) Find the values of a for which ữ is parallel or is perpendicular to w. (c) Calculate the angle between u and .

Q: The vectors u-(2,-1,1) and v= (1,1,2) in R3, the angle e between u and v is

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Q: Determine the angle between the given vectors. (а) а — 3і — 2ј, b %3 2i + 2j

A: a→=3i - 2jb→=2i + 2j

Q: Consider the position vectors @ = 1î −3ĵ+2k and b = −1î÷2ĵ– 2 k. (i) Find the lengths of a and b.…

A: The question asks you to find several things related to the position vectors a and b:(i) Find the…

Q: 1. Consider the vectors ū = (-1, 2), ở = (2,3) and w = (a, 3). (a) Find the resultant of ū and i,…

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Q: f vectors u=(1,1,3) and v=(2,0,1) , find a unit vector which is perpendicular to both u and v.

A: we have given two vectors u =1, 1, 3 & v= 2, 0, 1 we have to find a unit vector which is…

Q: Find the smallest angle between the vectors v = (1,1,2) and w= (2,4,5).

A: The given vectors are,

Q: Find the distance of point A(2/3, 2) from the line that passes through the origin and parallel to…

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Q: Find two unit vectors parallel to v = -2i + 5j – 3k.

A: Given:- v=-2i +5j-3k  To find:- Two units vectors parallel to given vector v

Q: (b) Find the angle between the vectors u and v if u = (2,3,5) and v = (1, -4,3) in %3D R3.

A:

Q: Let u = (6, 2, 4) and v = (1, 2,0). Find: (a) d(u, v). (b) the angle 0, in radians, between the two…

A: See the detailed solution below.

Q: If la| = v2, la + b| = v6 and la – b| = v2, find the angle between the two vectors å and b.

A:

Q: Find the sine of the angle between vectors u = (-3, 2,6) and v = (3,2,6) by using the cross-product.

A: Given: The vectors u =(-3, 2, 6) and v=(3,2,6) Find : The sine of the angle between the vectors u…

Q: b) Consider the vectors u = (2c, 2, −4), v=(c, c, 3)and w = (-1, 2, 3). Find the value(s) of…

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Q: 5. For vectors given the vectors v =(-4,-3) and w (-1,-1), find: (a) Sketch, v+w below. Find its…

A: We can solve as follows

Q: Find the magnitude only for the vector from T(-2, 6, 1) to U(10, -3, -4).

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Q: Find the angle between the vectors v and w v = (2,−3)T , w = (3, 2)T

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Q: ū = (-/3, –1) and w = (1, /3) E. |

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Q: a.b , a.č, č.ä

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: : (2,1,2). 1- Find the unit vectors u1 and u2 in the directions of v = (1,3) and w = Find unit…

A: If we have a vector u=a,b,c, then the unit vector that is in the direction of vector u is the vector…

Q: - Let v and w be vectors such that |v| = 2, ww = 36 and the angle between v and w is T/3. Calculate…

A: This question can be solved using the concept of vectors.

Q: If R =[E , F] ,Q =[F , C], Z = [D , B]. (a) Find the algebraic displacement vectors. (b) Determine…

A: (a) Algebraic displacement vector for points x1,y1 and x2,y2 can be written as follows:

Q: 3. (a) (i) If a = 2i - j + k, b = i + j - 2k and c = i + 3j - k, find such that a is perpendicular…

A: As you are posted question with multiple subparts but according to bartleby Q& A guidelines we…